A pretopological approach for image segmentation and edge detection

We present an approach based on a pretopological formalism that allows the mathematical modeling of image segmentation by region growing. The choice o f pretopology is motivated by the fact that it has less axioms than the top ology which facilitates its adaptation to discrete spaces and in particular ly image processing. In our approach, the pretopological adherency function associated to the pretopological structure is defined by a criterion of ho mogeneity. We apply our approach to the extraction of handwritten informati on on check background with images of scene and to edge detection. The aggr egation from chosen initial germ. ends to a closed part of the image compos ed by a stroke (a line of handwriting) or a line of contours. The evaluatio n, undertaken on 60 checks with various background images and different ima ges, gives 92% of good results for the extracted handwriting with a complet e elimination of the background and good results for edge detection.